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Simplifying 30 = -8w + 2(w + 3) Reorder the terms: 30 = -8w + 2(3 + w) 30 = -8w + (3 * 2 + w * 2) 30 = -8w + (6 + 2w) Reorder the terms: 30 = 6 + -8w + 2w Combine like terms: -8w + 2w = -6w 30 = 6 + -6w Solving 30 = 6 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 30 + 6w = 6 + -6w + 6w Combine like terms: -6w + 6w = 0 30 + 6w = 6 + 0 30 + 6w = 6 Add '-30' to each side of the equation. 30 + -30 + 6w = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 6w = 6 + -30 6w = 6 + -30 Combine like terms: 6 + -30 = -24 6w = -24 Divide each side by '6'. w = -4 Simplifying w = -4
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